NEW YORK STATE LUNATIC ASYLUM.--The annual report of this institution for the year 1851, furnishes the following facts: At the commencement of the year there were 429 patients in the asylum; 366 have been added, and 357 discharged during the year; of whom 112 were recovered, 15 much improved, 51 improved, 13 unimproved, and 45 died. The number in the asylum at the date of the report was 425, of whom 220 were males, and 215 females. Of those admitted during the year, the greatest number were between the ages of 25 and 30 years. Of the causes of derangement, the chief is stated to be intemperance, the number of patients from this cause now in the asylum being 44 males and 1 female. EMIGRATION.--The commissioners of emigration of New York, in a recent report to the legislature, state, that at the port of the city of New York alone, there arrived during the year 1851, 289,601, of whom there were natives of Ireland, 163,256; Germany, 69,883; other countries, 56,462; making an increase of 75,998 over the preceding year. The emigrants from Ireland exceed the whole number from other countries by 36,911. Of these, 85,000 were in a condition which required aid, being either sick or paupers. It is stated in the public prints, (and we have seen no contradiction of it,) that a single Irish nobleman secured a passage to our shores of nineteen hundred persons, at the rate of £2 per head, and ten shillings on their arrival. BOSTON CITY MARSHAL’S REPORT.--By the annual report of the marshal of the City of Boston, we learn that the whole number of robberies reported at the marshal’s office during the year 1851, was 562; amount of property lost and stolen, $44,418; amount of property recovered and restored to owners, $26,131. The whole number of complaints and arrests was 5,449, among which were, for larceny, 625; drunkenness, 1,465. Of the whole number of arrests made, 1,110 were minors. There have been 969 complaints made to the Grand Jury, growing out of the sale of intoxicating liquors; and fines, exclusive of costs, collected, amounting to $12,474; and 36 have been imprisoned in the House of Correction, for different periods, amounting in all to more than 10 years. The number who apply at the marshal’s office for charity is very large, and all who were really deserving have had their wants supplied by that department, from a fund which is the proceeds of stolen and unclaimed goods, an accurate account of which has been kept. “There is no greater imposition practised,” says the report, “than the system of begging and soliciting charity. We have now in the office a large number of written and printed papers which have been taken from these impostors; and from one person we took _twenty-one_.”